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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 884 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 206160 divisible by 30?
  2. 2.Is 176910 divisible by 30?
  3. 3.Is 8484 divisible by 2?
  4. 4.Is 25029 divisible by 6?
  5. 5.Is 13300 divisible by 20?
  6. 6.Is 20490 divisible by 6?
  7. 7.Is 19731 divisible by 6?
  8. 8.Is 69940 divisible by 20?
  9. 9.Is 10480 divisible by 8?
  10. 10.Is 6388 divisible by 2?
  11. 11.Is 26559 divisible by 18?
  12. 12.Is 36446 divisible by 12?
  13. 13.Is 50296 divisible by 29?
  14. 14.Is 156952 divisible by 23?
  15. 15.Is 34133 divisible by 6?
  16. 16.Is 34020 divisible by 12?
  17. 17.Is 23970 divisible by 17?
  18. 18.Is 63920 divisible by 20?
  19. 19.Is 51370 divisible by 9?
  20. 20.Is 11234 divisible by 15?
  21. 21.Is 13992 divisible by 12?
  22. 22.Is 39607 divisible by 6?
  23. 23.Is 3013 divisible by 3?
  24. 24.Is 24924 divisible by 11?
  25. 25.Is 175653 divisible by 29?
  26. 26.Is 10189 divisible by 5?
  27. 27.Is 5485 divisible by 4?
  28. 28.Is 1937 divisible by 13?
  29. 29.Is 98280 divisible by 30?
  30. 30.Is 47772 divisible by 8?
  31. 31.Is 90648 divisible by 24?
  32. 32.Is 12519 divisible by 4?
  33. 33.Is 125973 divisible by 24?
  34. 34.Is 7862 divisible by 12?
  35. 35.Is 65460 divisible by 20?
  36. 36.Is 13937 divisible by 7?
  37. 37.Is 34272 divisible by 13?
  38. 38.Is 37134 divisible by 6?
  39. 39.Is 40189 divisible by 24?
  40. 40.Is 24185 divisible by 9?

Answer key

  1. yes
  2. yes
  3. yes
  4. no
  5. yes
  6. yes
  7. no
  8. yes
  9. yes
  10. yes
  11. no
  12. no
  13. no
  14. yes
  15. no
  16. yes
  17. yes
  18. yes
  19. no
  20. no
  21. yes
  22. no
  23. no
  24. no
  25. yes
  26. no
  27. no
  28. yes
  29. yes
  30. no
  31. yes
  32. no
  33. no
  34. no
  35. yes
  36. yes
  37. no
  38. yes
  39. no
  40. no

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